Atkin-Lehner |
2- 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24684b |
Isogeny class |
Conductor |
24684 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
296208 = 24 · 32 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 11- -1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-722,7713] |
[a1,a2,a3,a4,a6] |
Generators |
[16:1:1] |
Generators of the group modulo torsion |
j |
21529370368/153 |
j-invariant |
L |
5.6714255522051 |
L(r)(E,1)/r! |
Ω |
2.7499206383449 |
Real period |
R |
0.34373268044677 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98736cz1 74052u1 24684e1 |
Quadratic twists by: -4 -3 -11 |